The L2-index theorem for covering spaces of Atiyah [3] and Singer [20] asserts that, given a discrete group F acting smoothly and freely on a manifold M with compact quotient M = F \ M, and an… Expand

LetG be a Lie group,H a closed subgroup,L a unitary representation ofH andUL the corresponding induced representation onG. The main result of this paper, extending Ol’ŝanskii’s version of the… Expand

In the context of Connes' noncommutative geometry, eigenvalue inequalities of the type discovered by Vafa and Witten are shown to be a characteristic feature of those spectral geometric spaces of… Expand

1. Introduction. In [B2I a formula is given for evaluating the L2-index of a Dirac-type operator D on a certain class of (noncompact) complete Riemannian manifolds. Although in principle computable,… Expand